Answer:
So sorry , but the pic isn't very seen well
145 divided by 7 =20.71
a little sketch on my answer <span />
the inside of quadrilateral is always 360°.So add 75°,90° and 75° and then subyaract from360°.
x+75°+75°+90°=360
×+240°=360°
x=360°-240°
x=120°
Answer:
Step-by-step explanation:
The angles (2x- 10) and (4x+ 16) are consecutive interior angles and therefore are corresponding
<u>Corresponding angles sum to 180</u>
- (2x - 10) + (4x + 16) = 180
- 6x + 6 = 180
- 6x = 174
- x = 174/6
- x = 29
Answer:
5 hours
Step-by-step explanation:
given :
Distance between the cities = 540 miles
Speed of motorcycle =48 mph
TO CALCULATE THE TIME TAKEN BY MOTORCYCLE TO COVER THE TOTAL DISTANCE WE USE THE FORMULA :

By putting given values in the formula we get :

= 11.25 hours
Now, We are given that for a car to cover the same distance it takes 2.25 hours less than the time taken by motorcycle
⇒ 11.25 hours - 2.25 hours
⇒ 9 hours
Thus , Time taken by car to cover the same distance is 9 hours .
Now to calculate speed of car by using formula:


= 60 mph
Let t be the time taken to meet if they start moving towards each other.
So distance covered by motorcycle in t hours is
speed\times time
= 48t miles
Distance covered by car in t hours is
speed\times time
= 60t miles
⇒ 60t + 48t =540
⇒ 108t = 540
⇒ t= 5 hours
Therefore, time taken to meet if they start moving towards each other is 5 hours.